Theorems · Theorem · commutative algebra
normalize_associated
∀ {α : Type u_1} [inst : MonoidWithZero α] [inst_1 : NormalizationMonoid α] (x : α), Associated (normalize x) x- Defined in
- Mathlib.Algebra.GCDMonoid.Basic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MonoidWithZerostatement and proof · cited by 456
- Associatedstatement · cited by 296
- NormalizationMonoidstatement and proof · cited by 165
- normalizestatement · cited by 137
- Associated.symmproof · cited by 87
- associated_normalizeproof · cited by 11
Cited by7
Results whose statement or proof uses this declaration.
- UniqueFactorizationMonoid.prime_of_normalized_factorproof · cited by 23
- Associates.mk_normalizeproof · cited by 2
- Finset.gcd_mul_leftproof · cited by 2
- Polynomial.prime_of_degree_eq_oneproof · cited by 1
- normalize_associated_iffproof · cited by 1
- associated_normalize_iffproof · cited by 0
- Multiset.gcd_map_mulproof · cited by 0